Atkin-Lehner |
7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
39347h |
Isogeny class |
Conductor |
39347 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-9682166929589 = -1 · 77 · 115 · 73 |
Discriminant |
Eigenvalues |
-1 3 3 7- 11- 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7776,-301472] |
[a1,a2,a3,a4,a6] |
j |
-441928354113/82297061 |
j-invariant |
L |
5.0332711368543 |
L(r)(E,1)/r! |
Ω |
0.25166355683497 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5621d1 |
Quadratic twists by: -7 |